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Finding the Third Proportional to 463,345 and 739,982

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Solution

The third proportional to 463,345 and 739,982 is: 1,181,783.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,345 : 739,982 = 739,982 : x
  2. Step 2: Convert to fraction form
    463,345/739,982 = 739,982/x
  3. Step 3: Cross multiply
    463,345x = 739,982 × 739,982
  4. Step 4: Simplify right side
    463,345x = 547,573,360,324
  5. Step 5: Solve for x
    x = 547,573,360,324/463,345
  6. Step 6: Final answer
    x = 1,181,783.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.